Step-by-step explanation:
£480 = 120% (after adding the 20% VAT).
we want to know how much 100% is.
he do we get from 120% to 100% ?
first the formal long way
£480 = 120%
1% = 120%/120 = 480/120 = £4
100% = 1% × 100 = 4×100 = £400
once you understand this mechanism, you can apply the direct shortcut :
£480 / 1.2 = £400
as a multiplication with 100/120 is the same as a division by 120/100, which is 1.2.
and what we did at the beginning in long form was nothing else than
£480 × 100/120 = 480 × 10/12 = 480 × 5/6 = £400
N^4 - 1 = (n^2 - 1)(n^2 + 1)
= (n + 1)(n - 1)(n^2 + 1)
Answer:
Dimes = x = 52
Nickels = y = 39
Step-by-step explanation:
Let
Dimes = x
Nickels = y
x + y = 91 (1)
0.10x + 0.05y = 7.15 (2)
From (1)
x = 91 - y
Substitute x = 91 - y into (2)
0.10x + 0.05y = 7.15
0.10(91 - y) + 0.05y = 7.15
9.10 - 0.10y + 0.05y = 7.15
- 0.10y + 0.05y = 7.15 - 9.10
-0.05y = -1.95
y = -1.95 / 0.05
= 39
Substitute y = 39 into (1)
x + y = 91
x + 39 = 91
x = 91 - 39
x = 52
Dimes = x = 52
Nickels = y = 39
<h2>
Answer:</h2><h2>
True. A decimeter, a centimeter and a millimeter are all smaller than a meter.</h2>
Step-by-step explanation:
Convert all the units to metres for compariosn.
By metric conversion,
1 decimetre = 0.1 metre
1 centimetre = 0.01 metre
1 millimetre = 0.001 metre
Based on the above conversions, a decimeter, a centimeter and a millimeter are all smaller than a meter. Therefore the given statement is true.
